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Finding the Fourth Proportional to 296,753.38, 409,293.63 and 255,430.72

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Solution

The fourth proportional to 296,753.38, 409,293.63 and 255,430.72 is: 352,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,753.38 : 409,293.63 = 255,430.72 : x
  2. Step 2: Convert to fraction form
    296,753.38/409,293.63 = 255,430.72/x
  3. Step 3: Cross multiply
    296,753.38x = 409,293.63 × 255,430.72
  4. Step 4: Simplify right side
    296,753.38x = 104,546,166,602.31
  5. Step 5: Solve for x
    x = 104,546,166,602.31/296,753.38
  6. Step 6: Final answer
    x = 352,299.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.